Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
23. -7
24. greater. For example, when u subtract -5 from 10, the answer is 15, which is greater than 10
25. the pattern each term is subtracted 5 from it's previous term
Answer:
c = 37
Step-by-step explanation:
Pythagorean thm formula:
a² + b² = c²
Given:
a = 12
b = 35
Work:
a² + b² = c²
12² + 35² = c²
144 + 1225 = c²
c² = 1369
c = 37
9: I think it is 48
10: 138
